Base | Representation |
---|---|
bin | 10101001110101… |
… | …000011001001000 |
3 | 220211011122120000 |
4 | 111032220121020 |
5 | 1212134011000 |
6 | 55201403000 |
7 | 11553166413 |
oct | 2516503110 |
9 | 824148500 |
10 | 356157000 |
11 | 173050031 |
12 | 9b339460 |
13 | 58a307b4 |
14 | 35430b7a |
15 | 21403000 |
hex | 153a8648 |
356157000 has 160 divisors (see below), whose sum is σ = 1245249720. Its totient is φ = 94953600.
The previous prime is 356156947. The next prime is 356157013. The reversal of 356157000 is 751653.
356157000 is a `hidden beast` number, since 35 + 61 + 570 + 0 + 0 = 666.
356157000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 101243844 + 254913156 = 10062^2 + 15966^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78802 + ... + 83198.
Almost surely, 2356157000 is an apocalyptic number.
356157000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 356157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622624860).
356157000 is an abundant number, since it is smaller than the sum of its proper divisors (889092720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
356157000 is a wasteful number, since it uses less digits than its factorization.
356157000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4430 (or 4407 counting only the distinct ones).
The product of its (nonzero) digits is 3150, while the sum is 27.
The square root of 356157000 is about 18872.1222971875. The cubic root of 356157000 is about 708.8382774061.
The spelling of 356157000 in words is "three hundred fifty-six million, one hundred fifty-seven thousand".
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